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dc.contributor.authorKakofengitis, Dimitris
dc.contributor.authorSteuernagel, Ole
dc.date.accessioned2018-02-21T16:54:48Z
dc.date.available2018-02-21T16:54:48Z
dc.date.issued2017-09-30
dc.identifier.citationKakofengitis , D & Steuernagel , O 2017 , ' Wigner's quantum phase space current in weakly anharmonic weakly excited two-state systems ' , European Physical Journal Plus , vol. 132 . https://doi.org/10.1140/epjp/i2017-11634-2
dc.identifier.issn2190-5444
dc.identifier.otherPURE: 10691218
dc.identifier.otherPURE UUID: d2fb573a-4550-4c6a-992a-4dcbdf939ef2
dc.identifier.otherArXiv: http://arxiv.org/abs/1411.3511v1
dc.identifier.otherScopus: 85029231002
dc.identifier.otherORCID: /0000-0003-4123-7517/work/54404245
dc.identifier.urihttp://hdl.handle.net/2299/19810
dc.descriptionThis is an open access article distributed under the terms of the Creative Commons Attribution License CC BY 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.description.abstractThere are no phase-space trajectories for anharmonic quantum systems, but Wigner’s phase-space representation of quantum mechanics features Wigner current J . This current reveals fine details of quantum dynamics – finer than is ordinarily thought accessible according to quantum folklore invoking Heisenberg’s uncertainty principle. Here, we focus on the simplest, most intuitive, and analytically accessible aspects of J . We investigate features of J for bound states of time-reversible, weakly-anharmonic one-dimensional quantum-mechanical systems which are weakly-excited. We establish that weakly-anharmonic potentials can be grouped into three distinct classes: hard, soft, and odd potentials. We stress connections between each other and the harmonic case. We show that their Wigner current fieldline patterns can be characterised by J ’s discrete stagnation points, how these arise and how a quantum system’s dynamics is constrained by the stagnation points’ topological charge conservation. We additionally show that quantum dynamics in phase space, in the case of vanishing Planck constant ̄ h or vanishing anharmonicity, does not pointwise converge to classical dynamics.en
dc.format.extent13
dc.language.isoeng
dc.relation.ispartofEuropean Physical Journal Plus
dc.rightsOpen
dc.titleWigner's quantum phase space current in weakly anharmonic weakly excited two-state systemsen
dc.contributor.institutionSchool of Physics, Astronomy and Mathematics
dc.contributor.institutionScience & Technology Research Institute
dc.contributor.institutionCentre for Atmospheric and Climate Physics Research
dc.description.statusPeer reviewed
dc.relation.schoolSchool of Physics, Astronomy and Mathematics
dc.description.versiontypeFinal Published version
dcterms.dateAccepted2017-09-30
rioxxterms.versionVoR
rioxxterms.versionofrecordhttps://doi.org/10.1140/epjp/i2017-11634-2
rioxxterms.licenseref.urihttp://creativecommons.org/licenses/by/4.0/
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue
herts.rights.accesstypeOpen


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